Answer:
D
Step-by-step explanation:
We know that vector addition is scalar addition.
Given vectors are u = <-3.5, -1.5> and v = <-1.25, 2.25>
2v = < -2.5, 4.5>
2v - u = < -2.5, 4.5> - <-3.5, -1.5> = < -2.5 - (-3.5) , 4.5 -(-1.5) >
2v-u = < 1 , 6 >
This vector is basically i + 6j which is drawn in option D
The angle is 60° because
B is a right angle and that adds to 90°, so dividing 90 by 3 would get 30
30 x 2 = 60
and to check the answer
x = 30
A=30
B=90
C=60
this adds to 180 which is correct because the angles in a triangle add to 180° :)
Continuous vs discrete is if you can count vs. measure the results. For example: you can run 13. 5 miles but you can't have 13.5 dogs. Miles (measurable) are continuous while dogs (countable) are discrete.
Qualitative results are when a result is not a number, and qualitative is when the result is a number. For example: if you're doing a lab and a result is either going to be "blue" or "green", that's qualitative, since those aren't number values. However, if you were measuring distance, that would be qualitative, since you would get a result of "6 meters" or "2.5 inches", which are numerical values.
The scale of measurement are the units in which you are measuring something it. For example: distance has units of inches, feet, miles, etc... and weight has units of grams, kilograms, tons, etc...
Hope this helps! -Alex :)